32000013 has 6 divisors (see below), whose sum is σ = 46222254. Its totient is φ = 21333336.

The previous prime is 32000011. The next prime is 32000053. The reversal of 32000013 is 31000023.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 31606884 + 393129 = 5622^2 + 627^2 .

It is not a de Polignac number, because 32000013 - 2¹ = 32000011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 3555557 = 32000013 / (3 + 2 + 0 + 0 + 0 + 0 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 31999959 and 32000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32000011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1777770 + ... + 1777787.

It is an arithmetic number, because the mean of its divisors is an integer number (7703709).

Almost surely, 2^32000013 is an apocalyptic number.

It is an amenable number.

32000013 is a deficient number, since it is larger than the sum of its proper divisors (14222241).

32000013 is a wasteful number, since it uses less digits than its factorization.

32000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555563 (or 3555560 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 32000013 is about 5656.8553985408. The cubic root of 32000013 is about 317.4802533857.

Adding to 32000013 its reverse (31000023), we get a palindrome (63000036).

The spelling of 32000013 in words is "thirty-two million, thirteen", and thus it is an aban number and an uban number.